このアイテムのアクセス数: 444
このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| Lectures_in_Mathematics_12.pdf | 14.88 MB | Adobe PDF | 見る/開く |
| タイトル: | Theory of group characters |
| 著者: | Brauer, Richard |
| キーワード: | Characters of groups |
| 発行日: | 1979 |
| 出版者: | Kinokuniya |
| 誌名: | Lectures in Mathematics |
| 巻: | 12 |
| 目次: | I. Preliminaries §1. Algebras and their representations [1-8] §2. Representations of finite groups - classical theory [8-19] §3. Cyclotomic splitting fields [19-30] II. Arithmetical Structure §1. The numbers ω_i(K_α) [31] §2. Modular representations and their characters [32-33] §3. Transition from an ordinary representation to a modular one [33-34] §4. Decomposition numbers and Cartan invariants [34-37] §5. The number of irreducible modular characters [37-39] §6. The chacacters Φ_⍴ [39-41] §7. The p-rank of the matrix D of decomposition numbers [41-43] §8. Blocks [43-46] §9. Idempotents belonging to blocks [46-50] §10. Defect of a block [50-52] §11. The determinant of the matrix C of Cartan invariants [52-56] §12. The elementary divisors of C and C_τ [56-63] §13. The number of irreducible characters in a block [63-66] III. Defect groups. Main theorem A §1. Blocks of G and those of subgroups [67-71] §2. Defect groups of a block [71-78] §3. Main Theorem A [78-81] IV. Generalized Decomposition Numbers, Main Theorem B §1. Generalized decomposition numbers [82-84] §2. Sections [84-88] §3. The matrix of generalized decomposition numbers [88-92] §4. Main Theorem B [93] §5. Some consequences [93-104] References [104-107] |
| 記述: | Notes prepared by T. Tsuzuku, in cooperation with T. Nakayama, P. Fong, A. Mizutani, N. Ito |
| URI: | http://hdl.handle.net/2433/84917 |
| 出現コレクション: | Lectures in Mathematics : Department of Mathematics, Kyoto University |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。